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Popular >

simplify ((1/2)^3)^5

Solution

simplify

((\frac{1}{2})^{3})^{5}

Solution

\frac{1}{32768}

+1

Decimal Notation

0.00003 \dots

Solution steps

((\frac{1}{2})^{3})^{5}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= (\frac{1}{2})^{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= (\frac{1}{2})^{15}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{15}}{2 ^{15}}

1^{15} = 1

= \frac{1}{2 ^{15}}

2^{15} = 32768

= \frac{1}{32768}

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simplify ((11-8)^3)/(-9)+2(4)^0 simplify

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245 - t^{2} = 0

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\frac{a ^{1 + 1}}{1 + 1}

simplify (x^{1/2})^{3/4}simplify

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Frequently Asked Questions (FAQ)

What is ((1/2)^3)^5 ?
The solution to ((1/2)^3)^5 is 1/32768